wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of POS and SOQ, respectively. If POS = x, find ROT.


A

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B


Ray OS stands on the line POQ, so that,

POS + SOQ = 180

But, POS = x

Hence, x+ SOQ = 180

SOQ = 180x

Now, ray OR bisects POS.

Hence, ROS = 12 × POS = 12 × x = x2

Similarly, SOT =12 × SOQ = 12 × ( 180 - x) = 90x2

ROT = ROS + SOT = x2 + 90x2 = 90


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Properties of Angles Formed by Two Parallel Lines and a Transversal
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon